What is the Least Common Multiple of 9814 and 9832?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 9814 and 9832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9814 and 9832, than apply into the LCM equation.

GCF(9814,9832) = 2
LCM(9814,9832) = ( 9814 × 9832) / 2
LCM(9814,9832) = 96491248 / 2
LCM(9814,9832) = 48245624

Least Common Multiple (LCM) of 9814 and 9832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9832. First we will calculate the prime factors of 9814 and 9832.

Prime Factorization of 9814

Prime Factorization of 9832

Now multiplying the highest exponent prime factors to calculate the LCM of 9814 and 9832.

LCM(9814,9832) = 2³ × 7¹ × 701¹ × 1229¹
LCM(9814,9832) = 48245624